\documentclass{article}
\usepackage{amssymb,amsmath,amscd,concmath}
\pagestyle{empty}
\begin{document}
\begin{equation*}\Phi = 2 \cdot \left[ \left({\partial u \over \partial x} \right)^2+\left({\partial v \over \partial y}\right)^2+\left({\partial w \over \partial z}\right)^2 \right]
+ \left({\partial v \over \partial x}+{\partial u \over \partial y} \right)^2
+ \left({\partial w \over \partial y}+{\partial v \over \partial z} \right)^2
+ \left({\partial u \over \partial z}+{\partial w \over \partial x} \right)^2
-\frac{2}{3} \cdot \left({\partial u \over \partial x}+{\partial v \over \partial y}+{\partial w \over \partial z} \right)^2\end{equation*}
\end{document}
